%I #6 Mar 31 2012 20:24:49

%S 1,0,0,6,22,0,3972,104120,69112956,881912947656

%N Number of isomorphism classes of self-orthogonal Latin squares of order n.

%C A self-orthogonal Latin square (SOLS) is a Latin square orthogonal to its transpose. Two SOLS L and L' are isomorphic if a permutation applied to the rows, columns and symbols of L maps L to L'.

%H A. P. Burger, M. P. Kidd and J. H. van Vuuren, 2010. <a href="http://www.vuuren.co.za/papers/SOLSEnum10.pdf">Enumerasie van self-ortogonale Latynse vierkante van orde 10</a>, LitNet Akademies (Natuurwetenskappe), 7(3), pp. 1-22.

%H A. P. Burger, M. P. Kidd and J. H. van Vuuren, <a href="http://www.vuuren.co.za/papers/SOLSEnum.pdf">Enumeration of isomorphism classes of self-orthogonal Latin squares</a>, Ars Combinatoria, 97, pp. 143-152.

%K hard,more,nonn

%O 1,4

%A _Martin P Kidd_, Nov 01 2010

%E a(10) from Martin Kidd, Oct 20 2011